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3734561680 = 24546682021
BaseRepresentation
bin1101111010011000…
…1110001110010000
3100122021020101112021
43132212032032100
530122021433210
61414324341224
7161355151633
oct33646161620
910567211467
103734561680
111647076513
12882844814
13476935015
14275db9c1a
1516cce1bda
hexde98e390

3734561680 has 20 divisors (see below), whose sum is σ = 8682856092. Its totient is φ = 1493824640.

The previous prime is 3734561671. The next prime is 3734561693. The reversal of 3734561680 is 861654373.

3734561680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 738969856 + 2995591824 = 27184^2 + 54732^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 23340931 + ... + 23341090.

Almost surely, 23734561680 is an apocalyptic number.

It is an amenable number.

3734561680 is an abundant number, since it is smaller than the sum of its proper divisors (4948294412).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3734561680 is a wasteful number, since it uses less digits than its factorization.

3734561680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46682034 (or 46682028 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 43.

The square root of 3734561680 is about 61111.0602100798. The cubic root of 3734561680 is about 1551.4813005177.

The spelling of 3734561680 in words is "three billion, seven hundred thirty-four million, five hundred sixty-one thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 46682021 93364042 186728084 233410105 373456168 466820210 746912336 933640420 1867280840 3734561680